Main Article Content
The purpose of this study is to continue the endeavor of soft multi generalized closed (briey, smg- closed) sets introduced by A. Ozkan . In the beginning, we explain some definitions and vital conclusion under soft multi set theory. Then, the soft separation axioms on soft multi generalized sets, i.e soft mTi − (i = 0, 1, 2, 3, 4) was introduced and its properties were investigated. Later, the concept of soft multi generalized closed set with its some theories and corollaries were presented. Lastly, since this concept is not only a natural generalization of soft multi closed sets, the studies of soft multi generalized closed sets caused the emergence of several new properties in soft multi topological spaces. One of them between the spaces of mT0- and mT1-, for example, mT1/2 –space which lower separation axiom weaker than. This axiom was introduced and its properties were investigated.